Eur. Phys. J. Plus (2017) 132: 366
https://doi.org/10.1140/epjp/i2017-11649-7

Regular Article

Approximation of fermion resonances on a splitting domain wall

¹ Young Researchers and Elite Club, Babol Branch, Islamic Azad University, Babol, Iran
² Department of Physics, Faculty of Basic Science, University of Mazandaran, P. O. Box 47416-1467, Babolsar, Iran

^* e-mail: farokhtabarali@yahoo.com

Received: 16 February 2017
Accepted: 17 July 2017
Published online: 29 August 2017

Abstract

In this paper the splitting of a domain wall is investigated analytically in flat spacetime. We also study fermion localization and resonances on this domain wall. Masses of Kaluza-Klein modes determined by two methods, numerical method and approximation one. We observe that the agreement between approximated values and numeric ones is good. It is found that the number of fermion resonances on the brane is increased with mass parameter.